Answer
Please see the graph that shows the lines are parallel and the red line is parallel to the blue line.
Work Step by Step
Through $(3,8)$ and parallel to $y=4x-2$
Parallel lines have the same slope, so $m=4$.
$y=mx+b$
$8=4*3+b$
$8=12+b$
$-4=b$
$y=4x-4$
Blue line: $4x-2=y$
Red line: $y=4x-4$